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Abstract
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In this paper, we rst give some sucient criteria for normality of monomial ideals. As applications, we show that closed neighborhood ideals of complete bipartite graphs are normal, and hence satisfy the (strong) persistence property. We also prove that domi- nating ideals of complete bipartite graphs are nearly normally torsion-free. In addition, we show that dominating ideals of h-wheel graphs, under certain condition, are normal.
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